A store sells paint sets. Each paint set costs the same amount. During a sale, the store reduces the price of each paint set by $1.50. Logan spends $13.47 on 3 paint sets at the sale price.
What was the price of I paint set before the sale?

the price of I paint set before the sale was $5.99

Step-by-step explanation:

Selling price of 3 paint sets = $13.47

To get selling price of 1 set

we divide both LHS and RHS by 3

Selling price of 3/3 = 1 paint sets = $13.47/3 = $4.49

Thus, selling price of 1 paint set after sale  is $4.49

Given that

the store reduces the price of each paint set by $1.50

Let the price before sale be x

selling price of 1 paint set after sale =  price before sale - $1.50

$4.49 = $x - $.150

$x = $4.49 + $1.50 = $5.99

Thus, the price of I paint set before the sale was $5.99

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: